Question

24,562 Learners found this answer helpful

point f and point g are on the same side of the x-axis. what is the distance between point f and the origin? units

Explanation:

Step1: Identify coordinates of F

Point F is at (0, 8) since it's on the y - axis (x = 0) and y - coordinate is 8.

Step2: Use distance formula from origin

The distance \(d\) from a point \((x,y)\) to the origin \((0,0)\) is given by \(d=\sqrt{(x - 0)^2+(y - 0)^2}\). For point F \((0,8)\), \(x = 0\), \(y = 8\). So \(d=\sqrt{(0 - 0)^2+(8 - 0)^2}=\sqrt{0 + 64}=\sqrt{64}=8\). Or, since it's on the y - axis, the distance is just the absolute value of the y - coordinate.

Answer:

8